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Finding the Fourth Proportional to 459,966.33, 689,900.94 and 123,040.98

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Solution

The fourth proportional to 459,966.33, 689,900.94 and 123,040.98 is: 184,548.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,966.33 : 689,900.94 = 123,040.98 : x
  2. Step 2: Convert to fraction form
    459,966.33/689,900.94 = 123,040.98/x
  3. Step 3: Cross multiply
    459,966.33x = 689,900.94 × 123,040.98
  4. Step 4: Simplify right side
    459,966.33x = 84,886,087,760.52
  5. Step 5: Solve for x
    x = 84,886,087,760.52/459,966.33
  6. Step 6: Final answer
    x = 184,548.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.